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Finding the Third Proportional to 146,436.75 and 319,725

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Solution

The third proportional to 146,436.75 and 319,725 is: 698,076.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,436.75 : 319,725 = 319,725 : x
  2. Step 2: Convert to fraction form
    146,436.75/319,725 = 319,725/x
  3. Step 3: Cross multiply
    146,436.75x = 319,725 × 319,725
  4. Step 4: Simplify right side
    146,436.75x = 102,224,075,625
  5. Step 5: Solve for x
    x = 102,224,075,625/146,436.75
  6. Step 6: Final answer
    x = 698,076.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.